Stability problems for stochastic models : proceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic) USSR, Sept. 25-Oct. 1, 1987 /

Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main...

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Corporate Authors: Matematicheskiĭ institut im. V.A. Steklova, Vsesoi︠u︡znyĭ nauchno-issledovatelʹskiĭ institut sistemnykh issledovaniĭ, SpringerLink (Online service), International Seminar on Stability Problems for Stochastic Models
Other Authors: Zolotarev, V. M, Kalashnikov, V. V (Vladimir Vi?a?cheslavovich), Kalashnikov, Vladimir V. (Editor, http://id.loc.gov/vocabulary/relators/edt), Zolotarev, V. M. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Format: Conference Proceeding Book
Language:English
Russian
Published: Berlin ; New York : Springer-Verlag, ©1989
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989
Series:Lecture Notes in Mathematics, 1412
Lecture notes in mathematics (Springer-Verlag) ; 1412
Subjects:
Table of Contents:
  • From the contents: S.V. Arkhipov: The density function's asymptotic representation in the case of multidimensional strictly stable distributions
  • A.M. Kagan: A multivariate analog of the Cramr theorem on components of the Gaussian distributions
  • V.V. Kalashnikov, S. Yu. Vsekhsvyatskii: On the connection of Rewnyi's theorem and renewal theory
  • V.M. Kruglov: Normal and degenerate convergences of random sums
  • V.L. Levin, S.T. Rachev: New duality theorems for marginal problems with some applications in stochastics
  • A.V. Nagaev, S.M. Shkolnik: Some asymptotic properties of the stable laws
  • E. Omey: On the rate of convergence in extreme value theory
  • V.V. Senatov: On the estimate of the rate of convergence in the central limit theorem in Hilbert space
  • I.P. Trukhina, G.P. Chistyakov: Stability of decomposition in semigroups of functions representable by series in the Jacobi polynomials
  • M. Yamazato: Hitting times of single points for 1-dimensional generalized diffusion processes
  • The density function's asymptotic representation in the case of multidimensional strictly stable distributions
  • Limiting behaviour of the sum of I.I.D. random variables and its terms of greatest moduli in the case of logarithmic type tall function
  • On the adaptive estimation of change points
  • Precise upper bounds for the functionals describing tumour treatment efficiency
  • A multivariate analog of the Cramer theorem on components of the Gaussian distributions
  • A refinement of Lukacs theorems
  • On the connection of Renyi's theorem and Renewal theory
  • On the products of a random number of random variables in connection with a problem from mathematical economics
  • The asymptotic distributions of random sums
  • Normal and degenerate convergences of random sums
  • New duality theorems for Marginal problems with some applications in stochastics
  • Stable random vectors in Hilbert space
  • The mean's consistent estimation, in the case random processes, satisfying partial differential equations
  • Limit theorems in the set up of sumnation of a random number of independent identically distributed random variables
  • Some asymptotic properties of the stable laws
  • A chi-square goodness-of-fit test for exponential distributions of the first order
  • A conditional weak law of large numbers
  • On the rate of convergence for the extreme value in the case of IFR-distributions
  • On the rate of convergence in extreme value theory
  • Some properties of stochastic processes with linear regression
  • On characterization of generalized logistic and pareto distributions
  • Limit theorems for positive definite probability densities
  • On the estimate of the rate of convergence in the central limit theorem in Hilbert space
  • Stability of decomposition in semigroups of functions representable by series in the Jacobi polynomials
  • A regressional characterization of the poisson distribution
  • Hitting times of single points for 1-dimensional generalized diffusion processes
  • Pseudotrajectories and stability problems for stochastic dynamical systems